161953213975056 has 675 divisors, whose sum is σ = 553330108742957. Its totient is φ = 44213470076160.

The previous prime is 161953213975051. The next prime is 161953213975067. The reversal of 161953213975056 is 650579312359161.

It is a happy number.

The square root of 161953213975056 is 12726084.

It is a perfect power (a square), and thus also a powerful number.

161953213975056 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 5 + 32 + 1 + 3 + 97 + 505 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100426133008656 + 61527080966400 = 10021284^2 + 7843920^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 161953213974984 and 161953213975002.

It is not an unprimeable number, because it can be changed into a prime (161953213975051) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 172107559546 + ... + 172107560486.

Almost surely, 2^{161953213975056} is an apocalyptic number.

161953213975056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161953213975056 is the 12726084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161953213975056

161953213975056 is an abundant number, since it is smaller than the sum of its proper divisors (391376894767901).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161953213975056 is an frugal number, since it uses more digits than its factorization.

161953213975056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 63.

The spelling of 161953213975056 in words is "one hundred sixty-one trillion, nine hundred fifty-three billion, two hundred thirteen million, nine hundred seventy-five thousand, fifty-six".